1054101312000 has 1920 divisors, whose sum is σ = 4377266479872. Its totient is φ = 241532928000.

The previous prime is 1054101311971. The next prime is 1054101312007. The reversal of 1054101312000 is 2131014501.

1054101312000 is a `hidden beast` number, since 1 + 0 + 541 + 0 + 1 + 3 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1054101312000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1054101312007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14439743964 + ... + 14439744036.

Almost surely, 2^{1054101312000} is an apocalyptic number.

1054101312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054101312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188633239936).

1054101312000 is an abundant number, since it is smaller than the sum of its proper divisors (3323165167872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054101312000 is a wasteful number, since it uses less digits than its factorization.

1054101312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1054101312000 its reverse (2131014501), we get a palindrome (1056232326501).

The spelling of 1054101312000 in words is "one trillion, fifty-four billion, one hundred one million, three hundred twelve thousand".